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Finding the Fourth Proportional to 255,903.42, 353,147.20 and 142,733.46

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Solution

The fourth proportional to 255,903.42, 353,147.20 and 142,733.46 is: 196,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,903.42 : 353,147.20 = 142,733.46 : x
  2. Step 2: Convert to fraction form
    255,903.42/353,147.20 = 142,733.46/x
  3. Step 3: Cross multiply
    255,903.42x = 353,147.20 × 142,733.46
  4. Step 4: Simplify right side
    255,903.42x = 50,405,921,745.31
  5. Step 5: Solve for x
    x = 50,405,921,745.31/255,903.42
  6. Step 6: Final answer
    x = 196,972.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.